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科研机构
数学与系统科学研... [171]
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期刊论文 [171]
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2022 [6]
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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator
期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:
Zhong, Ming
;
Yan, Zhenya
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2023/02/07
Integrable fractional nonlinear wave equations
Fourier neural operator
Deep learning
Data-driven soliton mapping
Activation function
Channel of fully-connected layer
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
作者:
Hong, Jialin
;
Sheng, Derui
;
Zhou, Tau
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  |  
浏览/下载:6/0
  |  
提交时间:2023/02/07
stochastic incompressible Euler equation
convergence order
splitting semi-implicit Euler method
Large-stepsize integrators for charged-particle dynamics over multiple time scales
期刊论文
NUMERISCHE MATHEMATIK, 2022, 页码: 33
作者:
Hairer, Ernst
;
Lubich, Christian
;
Shi, Yanyan
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  |  
浏览/下载:1/0
  |  
提交时间:2023/02/07
Charged particle
Strong magnetic field
Boris algorithm
Variational integrator
Filtered variational integrator
Modulated Fourier expansion
Long-term behaviour
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems
期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
作者:
Chen, Chuchu
;
Hong, Jialin
;
Sheng, Derui
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  |  
浏览/下载:19/0
  |  
提交时间:2022/04/29
Hitting probability
Numerical discretization
Stochastic parabolic system
Critical dimension
Smooth Controllability of the Navier-Stokes Equation with Navier Conditions: Application to Lagrangian Controllability
期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 2, 页码: 869-941
作者:
Liao, Jiajiang
;
Sueur, Franck
;
Zhang, Ping
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  |  
浏览/下载:11/0
  |  
提交时间:2022/04/02
Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac-delta(x)-Scarf-II optical potentials
期刊论文
PHYSICAL REVIEW E, 2022, 卷号: 105, 期号: 1, 页码: 16
作者:
Zhong, Ming
;
Chen, Yong
;
Yan, Zhenya
;
Tian, Shou-Fu
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  |  
浏览/下载:8/0
  |  
提交时间:2022/04/02
THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM
期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
作者:
Cao, Daomin
;
Luo, Peng
;
Peng, Shuangjie
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  |  
浏览/下载:31/0
  |  
提交时间:2021/04/26
Critical Sobolev exponent
local Pohozaev identity
existence of solutions
exact number of solutions
Green's function
ASYMPTOTICALLY-PRESERVING LARGE DEVIATIONS PRINCIPLES BY STOCHASTIC SYMPLECTIC METHODS FOR A LINEAR STOCHASTIC OSCILLATOR
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 1, 页码: 32-59
作者:
Chen, Chuchu
;
Hong, Jialing
;
Jin, Diancong
;
Sun, Liying
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  |  
浏览/下载:32/0
  |  
提交时间:2021/04/26
stochastic symplectic methods
superiority
large deviations principle
rate function
asymptotical preservation
SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 4, 页码: 2197-2217
作者:
Chen, Chuchu
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  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
stochastic Maxwell equations
symplectic dG full discretization
mean-square convergence
STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2866-2899
作者:
Cui, Jianbo
;
Hong, Jialin
;
Sun, Liying
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
stochastic Cahn-Hilliard equation
spectral Galerkin method
accelarated implicit Euler method
strong convergence rate
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